• Register
PhysicsOverflow is a next-generation academic platform for physicists and astronomers, including a community peer review system and a postgraduate-level discussion forum analogous to MathOverflow.

Welcome to PhysicsOverflow! PhysicsOverflow is an open platform for community peer review and graduate-level Physics discussion.

Please help promote PhysicsOverflow ads elsewhere if you like it.


PO is now at the Physics Department of Bielefeld University!

New printer friendly PO pages!

Migration to Bielefeld University was successful!

Please vote for this year's PhysicsOverflow ads!

Please do help out in categorising submissions. Submit a paper to PhysicsOverflow!

... see more

Tools for paper authors

Submit paper
Claim Paper Authorship

Tools for SE users

Search User
Reclaim SE Account
Request Account Merger
Nativise imported posts
Claim post (deleted users)
Import SE post

Users whose questions have been imported from Physics Stack Exchange, Theoretical Physics Stack Exchange, or any other Stack Exchange site are kindly requested to reclaim their account and not to register as a new user.

Public \(\beta\) tools

Report a bug with a feature
Request a new functionality
404 page design
Send feedback


(propose a free ad)

Site Statistics

205 submissions , 163 unreviewed
5,054 questions , 2,207 unanswered
5,345 answers , 22,721 comments
1,470 users with positive rep
818 active unimported users
More ...

  A half-quantum vortex for spinful fermions is equivalent to a single-quantum vortex of spinless fermions? in a $p$-wave superconductor

+ 1 like - 0 dislike

Reference: "Non-abelian statistics of half-quantum vortices in p-wave superconductors" D. A. Ivanov Phys. Rev. Lett. 86, 268 (2001)
https://doi.org/10.1103/PhysRevLett.86.268, journal version.

This free access paper (only in PRL version not arxiv version) says a confusing tongue twister statement:

(1) "a half-quantum vortex for spinful fermions is equivalent to a single-quantum vortex in a p-wave superconductor of spinless fermions."

  • Should this statement be written really as instead:

(2) "a half-quantum vortex for spinful fermions in a p-wave superconductor is equivalent to a single-quantum vortex of spinless fermions in a p-wave superconductor"?

  • How to make sense the statement (1) or (2), together with the title of paper: "half-quantum vortices in p-wave superconductors?"

  • why is this true? What counts as a half-quantum vortex vs a single-quantum vortex? Is that a $\pi$ versus $2 \pi$ flux? Is that in a unit of $hc/e$ versus $hc/2e$? Also should the p-wave superconductor already have the spinful fermions? should why spinless fermions in a p-wave superconductor?

  • Does a usual BCS $Z_2$ gauged superconductor have a half-quantum vortex or a single-quantum vortex? Is that a $\pi$ or a $2 \pi$ flux? Is that in a unit of $hc/e$ versus $hc/2e$?

This post imported from StackExchange Physics at 2020-12-15 17:03 (UTC), posted by SE-user annie marie heart
asked Nov 13, 2020 in Theoretical Physics by annie marie heart (1,205 points) [ no revision ]

Your answer

Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead.
To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL.
Please consult the FAQ for as to how to format your post.
This is the answer box; if you want to write a comment instead, please use the 'add comment' button.
Live preview (may slow down editor)   Preview
Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:
Then drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds).
Please complete the anti-spam verification

user contributions licensed under cc by-sa 3.0 with attribution required

Your rights